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3 years ago

what information do you need to create a cylinder, a sphere, and a pyramid that all have the same volume?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Answer:

h=4/3 r Base area =27(pi)/16 h^2

Step-by-step explanation:

The Volume of the following solids are

Cylinder: (pi)r^2 h

Sphere:4/3 (pi) r^3

Pyramid: 1/3(base area) h

Assuming that the Volume is the same in all three solids

(pi)r^2 h= 4/3 (pi) r^3

Simplify

h=4/3 r

(pi) r^2 h= 1/3(Base area)h

Simplify

(pi) r^2= 1/3 base area

substitute r=3/4 h

(pi) 9/16 h^2=1/3 base area

Base area =27(pi)/16 h^2

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for every girl taking classes at the martial arts schools there are 3 boys who are taking classes at the school. if there are 23

Yuliya22 [10]

You have to be very careful how you set this up. For every girl (who counts as 1) there are 3 boys (who count as 3). The total number in the proportion is 3 + 1 =4. You are given a total, but that is both boys and girls. That's why you need the 4.

3/4 = x / 236 Cross multiply

4x = 3 * 236

4x = 708 Divide by 4

x = 708/4

x = 177

There are 177 boys at the school and 236 - 177 = 59 girls.

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3 years ago

Which statement shows that when two polynomials 5x − 6 and 6x + 2 demonstrates the closure property when multiplied? a. 30x2 − 2

pogonyaev

Answer: a. 30x^2 − 26x − 12

First write the equation in a form to better help visualize.

(5x - 6)(6x + 2)

Then use distributive property on the second binomial from the first binomial. <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>

5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)

Then multiply 5x by 2

5x * 2 = 10x

Then you repeat the process but with -6 instead of 5x.

-6 * 6x = -36x (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)

-6 * 2 = -12

Now take all of your answers and put them into 1 equation by the order you did them.

30x^2 + 10x - 36x -12

But wait! The answer can still be simplified. All you have to do is combine like terms. <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>

30x^2 + (10x - 36x) - 12

30x^2 - 26x - 12

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3 years ago

Read 2 more answers

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nadezda [96]

Answer:

(D) 1/4%

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3 years ago

While Leo was visiting his sister in Ashland, he bought a surfboard that was marked down 40% from an original price of $521.28.

katrin2010 [14]

Answer:

$344.04

Step-by-step explanation:

The markdown multiplies the price by (1 -40%) = 0.60.

The tax multiplies the price by (1 +10%) = 1.10.

The two factors applied to the price make the final price be ...

$521.28·0.60·1.10 = $344.04

The total cost of the surfboard was $344.04.

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